Pith Number

pith:TQ5ZRHJC

pith:2021:TQ5ZRHJCJXTP3WPPBUA577FNDW

not attested not anchored not stored refs pending

The Most Likely Transition Path for a Class of Distribution-Dependent Stochastic Systems

Jianyu Hu, Wei Wei

arxiv:2111.06030 v2 · 2021-11-11 · math.NA · cs.NA · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQ5ZRHJCJXTP3WPPBUA577FNDW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T06:50:36.377516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c3b989d224de6fdd9ef0d01dffcad1d997264b3a1c81d52b7add0e346d0ad5f

Aliases

arxiv: 2111.06030 · arxiv_version: 2111.06030v2 · doi: 10.48550/arxiv.2111.06030 · pith_short_12: TQ5ZRHJCJXTP · pith_short_16: TQ5ZRHJCJXTP3WPP · pith_short_8: TQ5ZRHJC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TQ5ZRHJCJXTP3WPPBUA577FNDW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9c3b989d224de6fdd9ef0d01dffcad1d997264b3a1c81d52b7add0e346d0ad5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeeec9de760e3d7cfc30320a8c366d397891d21e1f1efbea9713c843305ce8c2",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-11-11T02:51:19Z",
    "title_canon_sha256": "365cec8c3cd479c4149636d23c3beef2b42ff6bf605b22eaa1b43fc589e32ecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.06030",
    "kind": "arxiv",
    "version": 2
  }
}